Topic: Basis and Dimension

Equal-Dimension Subspaces and Equality

Dimension Counts for Intersections and Sums

Dimension of a Subspace

Dimension and the Zero Vector Space

Dependence Relations and Their Coefficients

Common Errors in Basis and Dimension Arguments

Choosing the Shortest Basis-Extraction Method

Bases for Direct Sums of Subspaces

A Basis for a Subspace Given by Generators

A Basis for a Subspace Given by Equations